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30151143040 = 275349134989
BaseRepresentation
bin11100000101001001…
…011110111010000000
32212211021200202122111
4130011021132322000
5443222143034130
621503511345104
72115113326054
oct340511367200
985737622574
1030151143040
1111872597037
125a15682194
132ac67a4355
14166054dc64
15bb703202a
hex70525ee80

30151143040 has 64 divisors (see below), whose sum is σ = 72287145000. Its totient is φ = 12025810944.

The previous prime is 30151143037. The next prime is 30151143047. The reversal of 30151143040 is 4034115103.

It can be written as a sum of positive squares in 4 ways, for example, as 30028730944 + 122412096 = 173288^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30151143047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155866 + ... + 290854.

Almost surely, 230151143040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30151143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143572500).

30151143040 is an abundant number, since it is smaller than the sum of its proper divisors (42136001960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30151143040 is a wasteful number, since it uses less digits than its factorization.

30151143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135357 (or 135345 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 30151143040 its reverse (4034115103), we get a palindrome (34185258143).

The spelling of 30151143040 in words is "thirty billion, one hundred fifty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 349 640 698 1396 1745 2792 3490 5584 6980 11168 13960 22336 27920 44672 55840 111680 134989 223360 269978 539956 674945 1079912 1349890 2159824 2699780 4319648 5399560 8639296 10799120 17278592 21598240 43196480 47111161 86392960 94222322 188444644 235555805 376889288 471111610 753778576 942223220 1507557152 1884446440 3015114304 3768892880 6030228608 7537785760 15075571520 30151143040